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Finding the Third Proportional to 1,131,501,064 and 1,690,283,490

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Solution

The third proportional to 1,131,501,064 and 1,690,283,490 is: 2,525,015,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131,501,064 : 1,690,283,490 = 1,690,283,490 : x
  2. Step 2: Convert to fraction form
    1,131,501,064/1,690,283,490 = 1,690,283,490/x
  3. Step 3: Cross multiply
    1,131,501,064x = 1,690,283,490 × 1,690,283,490
  4. Step 4: Simplify right side
    1,131,501,064x = 2,857,058,276,566,580,224
  5. Step 5: Solve for x
    x = 2,857,058,276,566,580,224/1,131,501,064
  6. Step 6: Final answer
    x = 2,525,015,987.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.